| SHAPEI PRESERVING PIECEWISE CUBIC INTERPOLATION |
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| 引用本文： | LuoYANG ZHUHUIYAN. SHAPEI PRESERVING PIECEWISE CUBIC INTERPOLATION[J]. 高校应用数学学报(英文版), 1996, 11(4): 419-424. DOI: 10.1007/BF02662881 |
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| 作者姓名： | LuoYANG ZHUHUIYAN |
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| 摘 要： | This paper presents a C^1-interpolation which preserves convexity to scattered convex data. The interpolant is local and explicitly described. The interpolating function si(x) is C^2 on each interval (xi, xi 1). Error will be O(h^2) when the function to he interpolated is C^3.
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| 关 键 词： | 三次保值分段样条插值 G^1-插补 凸性 离散凸数据 |
| 收稿时间： | 1994-11-19 |
Shape preserving piecewise cubic interpolation |
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| Luo Yang,Zhu Huiyan. Shape preserving piecewise cubic interpolation[J]. Applied Mathematics A Journal of Chinese Universities, 1996, 11(4): 419-424. DOI: 10.1007/BF02662881 |
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| Authors: | Luo Yang Zhu Huiyan |
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| Affiliation: | (1) Department of Basic Science, Central-South Institute of Technology, 421001 Henyang |
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| Abstract: | This paper presents aC 1-interpolation which preserves convexity to scattered convex data. The interpolant is local and explicitly described. The interpolating function si(x) is C2 on each interval(@#@ xi,xi+1 @#@). Error will beO(h2) when the function to be interpolated is C3. 1991MR Subject Classification: 65D05,65Y25. |
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| Keywords: | Shape preserving interpolation Bernstein polynomial |
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